A service facility consists of two servers in series (tandem), each with its own FIFO queu...

A service facility consists of two servers in series (tandem), each with its own FIFO queue (see Fig. 1.50). A customer completing service at server 1 proceeds to server 2, while a customer completing service at server 2 leaves the facility. Assume that the interarrival times of customers to server 1 are IID exponential random variables with mean 1 minute. Service times of customers at server 1 are IID exponential random variables with mean 0.7 minute, and at server 2 are IID exponential random variables with mean 0.9 minute. Run the simulation for exactly 1000 minutes and estimate for each server the expected average delay in queue of a customer, the expected time-average number of customers in queue, and the expected utilization.

FIGURE 1.50 A tandem queueing system.